Let the complex numbers α and 1/α lie on the circles |z - z₀| = 2… | JEE Main 2024 Mathematics PYQ

NVAMediumJEE Main 2024 · 27 January, Shift 2Complex Numbers Basics

Let the complex numbers $\alpha$ and $\frac{1}{\alpha}$ lie on the circles $|z - z_0| = 2$ and $|z - z_0| = 4$ respectively, where $z_0 = 1 + i$ . Then, the value of $100|\alpha|^2$ is:

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